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Finding the Fourth Proportional to 1,917.67, 2,874.45 and 1,094.17

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Solution

The fourth proportional to 1,917.67, 2,874.45 and 1,094.17 is: 1,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.67 : 2,874.45 = 1,094.17 : x
  2. Step 2: Convert to fraction form
    1,917.67/2,874.45 = 1,094.17/x
  3. Step 3: Cross multiply
    1,917.67x = 2,874.45 × 1,094.17
  4. Step 4: Simplify right side
    1,917.67x = 3,145,136.96
  5. Step 5: Solve for x
    x = 3,145,136.96/1,917.67
  6. Step 6: Final answer
    x = 1,640.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.